Skip to main content

VOA*: Fast Angle-Based Outlier Detection over High-Dimensional Data Streams

  • Conference paper
  • First Online:
Advances in Knowledge Discovery and Data Mining (PAKDD 2021)

Abstract

Outlier detection in the high-dimensional data stream is a challenging data mining task. In high-dimensional data, the distance-based measures of outlierness become less effective and unreliable. Angle-based outlier detection ABOD technique was proposed as a more suitable scheme for high-dimensional data. However, ABOD is designed for static datasets and its naive application on a sliding window over data streams will result in poor performance. In this research, we propose two incremental algorithms for fast outlier detection based on an outlier threshold value in high-dimensional data streams: IncrementalVOA and \(VOA^{*}\). IncrementalVOA is a basic incremental algorithm for computing outlier factor of each data point in each window. \(VOA^{*}\) enhances the incremental computation by using a bound-based pruning method and a retrospect-based incremental computation technique. The effectiveness and efficiency of the proposed algorithms are experimentally evaluated on synthetic and real world datasets where \(VOA^{*}\) outperformed other methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Aggarwal, C.C., Philip, S.Y., Han, J., Wang, J.: A framework for clustering evolving data streams. In: Proceedings of 2003 Very Large Data Bases Conference, pp. 81–92. Elsevier (2003)

    Google Scholar 

  2. Breunig, M.M., Kriegel, H.P., Ng, R.T., Sander, J.: LOF: identifying density-based local outliers. In: Proceedings of 2000 ACM SIGMOD International Conference on Management of Data, pp. 93–104 (2000)

    Google Scholar 

  3. Cao, F., Estert, M., Qian, W., Zhou, A.: Density-based clustering over an evolving data stream with noise. In: Proceedings of 2006 SIAM International Conference on Data Mining, pp. 328–339. SIAM (2006)

    Google Scholar 

  4. Chandola, V., Banerjee, A., Kumar, V.: Anomaly detection: a survey. ACM Comput. Surv. 41(3), 1–58 (2009)

    Article  Google Scholar 

  5. Dua, D., Graff, C.: UCI machine learning repository (2017). http://archive.ics.uci.edu/ml

  6. Hawkins, D.M.: Identification of Outliers, vol. 11. Springer, Heidelberg (1980). https://doi.org/10.1007/978-94-015-3994-4

    Book  MATH  Google Scholar 

  7. Hinneburg, A., Aggarwal, C.C., Keim, D.A.: What is the nearest neighbor in high dimensional spaces? In: Proceedings of 26th International Conference on Very Large Data Bases, pp. 506–515 (2000)

    Google Scholar 

  8. Ishida, K., Kitagawa, H.: Detecting current outliers: continuous outlier detection over time-series data streams. In: Bhowmick, S.S., Küng, J., Wagner, R. (eds.) DEXA 2008. LNCS, vol. 5181, pp. 255–268. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-85654-2_26

    Chapter  Google Scholar 

  9. Kieu, T., Yang, B., Jensen, C.S.: Outlier detection for multidimensional time series using deep neural networks. In: Proceedings of 2018 19th IEEE International Conference on Mobile Data Management, pp. 125–134. IEEE (2018)

    Google Scholar 

  10. Knorr, E.M., Ng, R.T., Tucakov, V.: Distance-based outliers: algorithms and applications. VLDB J. 8(3–4), 237–253 (2000)

    Article  Google Scholar 

  11. Kontaki, M., Gounaris, A., Papadopoulos, A.N., Tsichlas, K., Manolopoulos, Y.: Continuous monitoring of distance-based outliers over data streams. In: Proceedings of 2011 IEEE 27th International Conference on Data Engineering, pp. 135–146. IEEE (2011)

    Google Scholar 

  12. Kriegel, H.P., Schubert, M., Zimek, A.: Angle-based outlier detection in high-dimensional data. In: Proceedings of 14th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 444–452 (2008)

    Google Scholar 

  13. Mahadevan, V., Li, W., Bhalodia, V., Vasconcelos, N.: Anomaly detection in crowded scenes. In: Proceedings of 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp. 1975–1981. IEEE (2010)

    Google Scholar 

  14. Papadimitriou, S., Kitagawa, H., Gibbons, P.B., Faloutsos, C.: LOCI: fast outlier detection using the local correlation integral. In: Proceedings of 19th International Conference on Data Engineering, pp. 315–326. IEEE (2003)

    Google Scholar 

  15. Pham, N., Pagh, R.: A near-linear time approximation algorithm for angle-based outlier detection in high-dimensional data. In: Proceedings of 18th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 877–885 (2012)

    Google Scholar 

  16. Pokrajac, D., Lazarevic, A., Latecki, L.J.: Incremental local outlier detection for data streams. In: 2007 IEEE Symposium on Computational Intelligence and Data Mining, pp. 504–515. IEEE (2007)

    Google Scholar 

  17. Salehi, M., Leckie, C., Bezdek, J.C., Vaithianathan, T., Zhang, X.: Fast memory efficient local outlier detection in data streams. IEEE Trans. Knowl. Data Eng. 28(12), 3246–3260 (2016)

    Article  Google Scholar 

  18. Shaikh, S.A., Kitagawa, H.: Continuous outlier detection on uncertain data streams. In: Proceedings of 2014 IEEE Ninth International Conference on Intelligent Sensors, Sensor Networks and Information Processing, pp. 1–7. IEEE (2014)

    Google Scholar 

  19. Tran, L., Fan, L., Shahabi, C.: Distance-based outlier detection in data streams. PVLDB Endow. 9(12), 1089–1100 (2016)

    Article  Google Scholar 

  20. Ye, H., Kitagawa, H., Xiao, J.: Continuous angle-based outlier detection on high-dimensional data streams. In: Proceedings of 19th International Database Engineering and Applications Symposium, pp. 162–167 (2015)

    Google Scholar 

  21. Yoon, S., Lee, J.G., Lee, B.S.: NETS: extremely fast outlier detection from a data stream via set-based processing. PVLDB Endow. 12(11), 1303–1315 (2019)

    Article  Google Scholar 

Download references

Acknowledgement

This work was partly supported by JSPS KAKENHI Grant Number JP19H04114.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vijdan Khalique .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Khalique, V., Kitagawa, H. (2021). VOA*: Fast Angle-Based Outlier Detection over High-Dimensional Data Streams. In: Karlapalem, K., et al. Advances in Knowledge Discovery and Data Mining. PAKDD 2021. Lecture Notes in Computer Science(), vol 12712. Springer, Cham. https://doi.org/10.1007/978-3-030-75762-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-75762-5_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-75761-8

  • Online ISBN: 978-3-030-75762-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics